Finding the Third Proportional to 96,606 and 147,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,606 : 147,781.50 = 147,781.50 : x
2. Step 2: Convert to fraction form
   96,606/147,781.50 = 147,781.50/x
3. Step 3: Cross multiply
   96,606x = 147,781.50 × 147,781.50
4. Step 4: Simplify right side
   96,606x = 21,839,371,742.25
5. Step 5: Solve for x
   x = 21,839,371,742.25/96,606
6. Step 6: Final answer
   x = 226,066.41